{
  "id": "2308.00880",
  "version": "v1",
  "published": "2023-08-01T23:44:44.000Z",
  "updated": "2023-08-01T23:44:44.000Z",
  "title": "Local limit theorem for time-inhomogeneous functions of Markov processes",
  "authors": [
    "Leonid Koralov",
    "Shuo Yan"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we consider a continuous-time Markov process and prove a local limit theorem for the integral of a time-inhomogeneous function of the process. One application is in the study of the fast oscillating perturbations of linear dynamical systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-01T23:44:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "60J25"
    ],
    "keywords": [
      "local limit theorem",
      "time-inhomogeneous function",
      "continuous-time markov process",
      "fast oscillating perturbations",
      "linear dynamical systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}